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# Set S has a range of p and the largest number in set S is v. Set T has

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Math Expert
Joined: 02 Sep 2009
Posts: 51280
Set S has a range of p and the largest number in set S is v. Set T has  [#permalink]

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27 May 2018, 09:27
00:00

Difficulty:

55% (hard)

Question Stats:

56% (02:10) correct 44% (02:27) wrong based on 46 sessions

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Set S has a range of p and the largest number in set S is v. Set T has a range of q and the largest number in set T and the largest number in set T is w. Is the smallest number in set S greater than the smallest number in set T?

(1) p < q
(2) The median of set S is less than the median of set T, and the average (arithmetic mean) of set S is greater than the mean of set T.

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Joined: 02 Oct 2017
Posts: 730
Re: Set S has a range of p and the largest number in set S is v. Set T has  [#permalink]

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27 Jun 2018, 05:40
As per question
Set S
Smallest in set S=v-p

Set T
Smallest in T=w-q

(1) p < q
No info about v and w
So insufficient

(2) The median of set S is less than the median of set T, and the average (arithmetic mean) of set S is greater than the mean of set T.

We don't know how many numbers are there in each set S and T
As this thing would result in situation where either of s or T can be greater than other

Insufficient

Combining also won't give anything

Give kudos if it helps

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Re: Set S has a range of p and the largest number in set S is v. Set T has &nbs [#permalink] 27 Jun 2018, 05:40
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